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A new construction of perfect nonlinear functions using Galois rings

โœ Scribed by Tao Feng


Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
128 KB
Volume
17
Category
Article
ISSN
1063-8539

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โœฆ Synopsis


Abstract

For a prime p, we give a construction of perfect nonlinear functions from โ„ค to โ„ค when either of the following conditions holds: (1) nโ‰ฅp; (2) n<p, and n is a composite number or is the sum of positive composite numbers. It follows that when nโ‰ฅ12, there is a perfect nonlinear function from โ„ค to โ„ค for any prime p. ยฉ 2009 Wiley Periodicals, Inc. J Combin Designs 17: 229โ€239, 2009


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